Compound Statements

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description

Compound Statements. Lesson 1.3. And and or Statements. P and Q  The statement p and q is true when, and only when, only p and q are true. Symbol: ^ P or Q  The statement p or q is true when either p is true or q is true. Symbol: V. Truth Table. Other definitions. - PowerPoint PPT Presentation

Transcript of Compound Statements

Page 1: Compound Statements
Page 2: Compound Statements

P and Q The statement p and q is true when, and only when, only p and q are true. Symbol: ^

P or Q The statement p or q is true when either p is true or q is true.

Symbol: V

Page 3: Compound Statements

P Q P and Q Q or PP Q P and Q Q or P

T T T T

T F F T

F T F T

F F F F

Page 4: Compound Statements

Exclusive or: If you choose one, you will not want the other-Example: Would you like a cup of tea or a cup of coffee?

Inclusive or: You may choose either or both of these choices.-Example: Would you like cream or sugar?

Page 5: Compound Statements

Solve and graph the solution set: |x – 3| ≤ 15

x – 3 ≤ 15 x – 3 ≥ -15x ≤ 18 x ≥ -12

-12 0 18

Page 6: Compound Statements

Solve and Graph the solution set: 7 – x > 10 or 12 ≤ 6x

7 – x > 10 12 ≤ 6x-x > 3x < 3

32

2 ≤ x

Page 7: Compound Statements

For all statements p and q:

~(p and q) Ξ ~p or ~q ~(p ^ q) Ξ ~p v ~q

~(p or q) Ξ ~p and ~q~(p v q) Ξ ~p ^ ~q

Page 8: Compound Statements

P QP Q P and Q

~(p and q)

~P ~Q ~p or ~q

T T T F F F F

T F F T F T T

F T F T T F T

F F F T T T T

Page 9: Compound Statements

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Compound Statements

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